Question : A, B and C started a business by investing INR 13,750, INR 16,250 and INR 18,750, respectively. If B's share in the profit earned by them is INR 5,200, what is the total profit (in INR) earned by them together?
Option 1: 18,200
Option 2: 17,500
Option 3: 15,600
Option 4: 16,600
Correct Answer: 15,600
Solution :
Investment of A = INR 13,750
Investment of B = INR 16,250
Investment of C = INR 18,750
The ratio of investments = 13750 : 16250 : 18750 = 11 : 13 : 15
Let $x$ be the total profit.
B's share of profit = INR 5,200
⇒ $\frac{13x}{11+13+15}$ = 5200
⇒ $\frac{13x}{39}$ = 5200
⇒ $\frac{x}{3}$ = 5200
⇒ $x$ = 5200 × 3 = 15600
Hence, the correct answer is INR 15,600.
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